A247530 Number of length n+3 0..5 arrays with some disjoint pairs in every consecutive four terms having the same sum

336, 600, 1124, 2164, 4228, 8440, 16932, 34068, 68688, 139040, 281646, 570720, 1157028, 2347720, 4764538, 9669762, 19627304, 39846710, 80899690, 164248362, 333480544, 677107822, 1374849942, 2791574878, 5668275372, 11509431434

Offset

1,1

Comments

Column 5 of A247533

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2*a(n-1) +8*a(n-2) -17*a(n-3) +a(n-4) +10*a(n-5) -157*a(n-6) +279*a(n-7) +287*a(n-8) -676*a(n-9) +1052*a(n-10) -1443*a(n-11) -3411*a(n-12) +6586*a(n-13) -1985*a(n-14) +16*a(n-15) +16530*a(n-16) -27897*a(n-17) -7486*a(n-18) +26143*a(n-19) -37856*a(n-20) +52993*a(n-21) +39856*a(n-22) -98023*a(n-23) +38862*a(n-24) -20108*a(n-25) -65879*a(n-26) +144966*a(n-27) -16963*a(n-28) -66316*a(n-29) +54163*a(n-30) -75893*a(n-31) +4252*a(n-32) +70664*a(n-33) -27769*a(n-34) +2220*a(n-35) -2909*a(n-36) -15058*a(n-37) +10538*a(n-38) -826*a(n-39) +1788*a(n-40) +1646*a(n-41) -2884*a(n-42) +1344*a(n-43) -572*a(n-44) -615*a(n-45) +437*a(n-46) +140*a(n-47) +112*a(n-48) -190*a(n-49) -20*a(n-50) +78*a(n-51) +a(n-52) -24*a(n-53) +8*a(n-55) -4*a(n-56)

Example

Some solutions for n=6
..4....3....3....5....1....1....0....1....3....2....3....3....3....4....0....1
..2....2....2....4....4....4....4....3....2....2....4....4....2....3....2....0
..3....5....2....1....0....2....1....2....4....3....4....5....0....0....4....2
..3....4....1....2....5....3....5....0....3....1....5....4....5....1....2....1
..2....3....1....5....1....3....0....1....3....4....3....3....3....2....0....3
..4....2....0....4....4....2....4....1....4....2....2....2....2....1....2....4
..1....1....2....1....2....2....1....0....2....3....4....1....0....2....4....2
..3....4....3....0....5....3....3....2....5....5....1....4....1....1....2....1
..0....3....5....5....1....3....2....1....1....0....5....3....3....0....0....5

Crossrefs

Sequence in context: A289220 A060664 A261551 * A064259 A181256 A006909

Adjacent sequences: A247527 A247528 A247529 * A247531 A247532 A247533

Keyword

nonn

Author

R. H. Hardin, Sep 18 2014

Status

approved